English

Holomorphic families of long C^2's

Complex Variables 2012-07-26 v2

Abstract

We construct a holomorphically varying family of complex surfaces X_s, parametrized by the points s in any Stein manifold, such that every X_s is a long C^2 which is biholomorphic to C^2 for some but not all values of s.

Keywords

Cite

@article{arxiv.1101.3299,
  title  = {Holomorphic families of long C^2's},
  author = {Franc Forstneric},
  journal= {arXiv preprint arXiv:1101.3299},
  year   = {2012}
}